\documentclass[a4paper,UTF8]{article}
\usepackage{ctex}
\usepackage{tikz, pgfplots}
\usetikzlibrary{calc,angles,quotes}
\pgfplotsset{width=15cm,compat=1.18}
\begin{document}
	\begin{tikzpicture}
		\begin{axis}[xlabel=x,ylabel=y,zlabel=z]
			\addplot3 [only marks] coordinates{
				(0, 0, 5)
				(0, 5, 3)
				(0, 10, 5)
				(5, 0, 3)
				(5, 5, 10)
				(5, 10, 3)
				(10, 0, 5)
				(10, 5, 3)
				(10, 10, 5)	
			};
			
			% 画上插值曲面
			
			\addplot3 [domain=0:5,domain y=0:5,mesh]{+5.0-6.0*(y/5)^2+4.0*(y/5)^3+(-6.0+81.0*(y/5)^2-54.0*(y/5)^3)*(x/5)^2+(+4.0-54.0*(y/5)^2+36.0*(y/5)^3)*(x/5)^3};
			\addplot3 [black,domain=0:5,domain y=5:10,mesh]{+3.0+6.0*((y-5.0)/5)^2-4.0*((y-5.0)/5)^3+(+21.0-81.0*((y-5.0)/5)^2+54.0*((y-5.0)/5)^3)*(x/5)^2+(-14.0+54.0*((y-5.0)/5)^2-36.0*((y-5.0)/5)^3)*(x/5)^3};
			\addplot3 [black,domain=5:10,domain y=0:5,mesh]{+3.0+21.0*(y/5)^2-14.0*(y/5)^3+(+6.0-81.0*(y/5)^2+54.0*(y/5)^3)*((x-5.000000)/5)^2+(-4.0+54.0*(y/5)^2-36.0*(y/5)^3)*((x-5.000000)/5)^3};
			\addplot3 [black,domain=5:10,domain y=5:10,mesh]{+10.0-21.0*((y-5.0)/5)^2+14.0*((y-5.0)/5)^3+(-21.0+81.0*((y-5.0)/5)^2-54.0*((y-5.0)/5)^3)*((x-5.000000)/5)^2+(+14.0-54.0*((y-5.0)/5)^2+36.0*((y-5.0)/5)^3)*((x-5.000000)/5)^3};
			
		\end{axis}
		
	\end{tikzpicture}
\end{document}